LOS ANGELES (CBSLA.com/AP) — Nearly half of Californians say the state’s first increase in the minimum wage in six years isn’t enough and should be raised even further, according to a new Field Poll.

KNX 1070’s Claudia Peschiutta reports a majority of Californians are unhappy with the wealth and income gap in the state but are divided over whether the government should do more to intervene or whether to raise the minimum wage.

The largest differences of opinion about the issue were found between Californians who were born in the U.S. and those who were not by a two-to-one margin, according to the survey.

Concerns about the widening income gap are also expected to play a role in this year’s race for governor, where Republican Neel Kashkari has sought to highlight California’s status as having the highest poverty rate in the nation as he challenges incumbent Democratic Gov. Jerry Brown.

The Field Poll interviewed 1,020 adults from June 5-22. The poll has a sampling error margin of plus or minus 3.2 percentage points.